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Finding the Third Proportional to 344,433 and 748,631

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Solution

The third proportional to 344,433 and 748,631 is: 1,627,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,433 : 748,631 = 748,631 : x
  2. Step 2: Convert to fraction form
    344,433/748,631 = 748,631/x
  3. Step 3: Cross multiply
    344,433x = 748,631 × 748,631
  4. Step 4: Simplify right side
    344,433x = 560,448,374,161
  5. Step 5: Solve for x
    x = 560,448,374,161/344,433
  6. Step 6: Final answer
    x = 1,627,162.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.